P varies jointly as m and u, and varies inversely as q. Given that p = 4, m = 3 and u = 2 and q = 1, find the value of p when m = 6, u = 4 and q = \( \frac{...

Assessment: JAMB UTME - Mathematics - 2013 Subject: General Mathematics

Question 1 Report

P varies jointly as m and u, and varies inversely as q. Given that p = 4, m = 3 and u = 2 and q = 1, find the value of p when m = 6, u = 4 and q = $ \frac{8}{5} $

\frac{8}{5}

\frac{8}{5}

Answer Details

P $\propto$ mu, p $\propto \frac{1}{q}$
p = muk ................ (1)
p = $\frac{1}{q} k$ .... (2)
Combining (1) and (2), we get
P = $\frac{m u}{q} k$
4 = $\frac{m \times u}{1} k$
giving k = $\frac{4}{6} = \frac{2}{3}$
So, P = $\frac{m u}{q} \times \frac{2}{3} = \frac{2 m u}{3 q}$
Hence, P = $\frac{2 \times 6 \times 4}{3 \times \frac{8}{5}}$
P = $\frac{2 \times 6 \times 4 \times 5}{3 \times 8}$
p = 10

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Modular Arithmetic

Ratio, Proportions And Rates

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P varies jointly as m and u, and varies inversely as q. Given that p = 4, m = 3 and u = 2 and q = 1, find the value of p when m = 6, u = 4 and q = \( \frac{...

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